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Finding the Third Proportional to 32,407.50 and 52,917

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Solution

The third proportional to 32,407.50 and 52,917 is: 86,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.50 : 52,917 = 52,917 : x
  2. Step 2: Convert to fraction form
    32,407.50/52,917 = 52,917/x
  3. Step 3: Cross multiply
    32,407.50x = 52,917 × 52,917
  4. Step 4: Simplify right side
    32,407.50x = 2,800,208,889
  5. Step 5: Solve for x
    x = 2,800,208,889/32,407.50
  6. Step 6: Final answer
    x = 86,406.20

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.